%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL624^1 : TPTP v9.3.1. Released v3.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:14:28 AM UTC 2026
% Result : Theorem 0.50s 0.38s
% Output : Refutation 0.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 15
% Syntax : Number of formulae : 117 ( 45 unt; 0 typ; 7 def)
% Number of atoms : 918 ( 167 equ; 0 cnn)
% Maximal formula atoms : 10 ( 7 avg)
% Number of connectives : 1206 ( 89 ~; 159 |; 75 &; 779 @)
% ( 6 <=>; 29 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 167 ( 167 >; 0 *; 0 +; 0 <<)
% Number of symbols : 55 ( 50 usr; 13 con; 0-4 aty)
% ( 29 !!; 40 ??; 0 @@+; 0 @@-)
% Number of variables : 302 ( 0 sgn 49 !; 8 ?; 302 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(type_def_6,type,
individuals: $tType ).
thf(func_def_1,type,
prop_a: $i > $o ).
thf(func_def_2,type,
prop_b: $i > $o ).
thf(func_def_3,type,
prop_c: $i > $o ).
thf(func_def_4,type,
mfalse: $i > $o ).
thf(func_def_5,type,
mtrue: $i > $o ).
thf(func_def_6,type,
mnot: ( $i > $o ) > $i > $o ).
thf(func_def_8,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_9,type,
mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_10,type,
mimpl: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_11,type,
miff: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_12,type,
mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_13,type,
mdia: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_14,type,
mall: ( individuals > $i > $o ) > $i > $o ).
thf(func_def_15,type,
mexists: ( individuals > $i > $o ) > $i > $o ).
thf(func_def_16,type,
mvalid: ( $i > $o ) > $o ).
thf(func_def_17,type,
msatisfiable: ( $i > $o ) > $o ).
thf(func_def_18,type,
mcountersatisfiable: ( $i > $o ) > $o ).
thf(func_def_19,type,
minvalid: ( $i > $o ) > $o ).
thf(func_def_20,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_21,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_22,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_23,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_24,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_25,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_26,type,
vNOT: $o > $o ).
thf(func_def_27,type,
vAND: $o > $o > $o ).
thf(func_def_28,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_31,type,
vIMP: $o > $o > $o ).
thf(func_def_32,type,
vOR: $o > $o > $o ).
thf(func_def_33,type,
sK0: $i > $o ).
thf(func_def_34,type,
sK1: $i > $o ).
thf(func_def_35,type,
sK2: $i > $i > $o ).
thf(func_def_36,type,
sF3: $o ).
thf(func_def_37,type,
sK4: $i > $i ).
thf(func_def_38,type,
sK5: $i > $i ).
thf(func_def_39,type,
sK6: $i > $i ).
thf(func_def_40,type,
sK7: $i > $i ).
thf(func_def_41,type,
sK8: $i > $i ).
thf(func_def_42,type,
sK9: $i > $i ).
thf(func_def_43,type,
sK10: $i > $i ).
thf(func_def_46,type,
sK13: $i > $i ).
thf(f3,axiom,
( ( ^ [X0: $i > $o,X1: $i] :
~ ( X0 @ X1 ) )
= mnot ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL008^0.ax',mnot) ).
thf(f4,axiom,
( mor
= ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
( ( X0 @ X2 )
| ( X1 @ X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL008^0.ax',mor) ).
thf(f5,axiom,
( ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
( ( X1 @ X2 )
& ( X0 @ X2 ) ) )
= mand ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL008^0.ax',mand) ).
thf(f6,axiom,
( mimpl
= ( ^ [X0: $i > $o,X1: $i > $o] : ( mor @ ( mnot @ X0 ) @ X1 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL008^0.ax',mimpl) ).
thf(f8,axiom,
( mbox
= ( ^ [X0: $i > $i > $o,X1: $i > $o,X2: $i] :
! [X3: $i] :
( ( X0 @ X2 @ X3 )
=> ( X1 @ X3 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL008^0.ax',mbox) ).
thf(f9,axiom,
( mdia
= ( ^ [X0: $i > $i > $o,X1: $i > $o,X2: $i] :
? [X3: $i] :
( ( X0 @ X2 @ X3 )
& ( X1 @ X3 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL008^0.ax',mdia) ).
thf(f12,axiom,
( ( ^ [X0: $i > $o] :
! [X1: $i] : ( X0 @ X1 ) )
= mvalid ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL008^0.ax',mvalid) ).
thf(f16,conjecture,
! [X2: $i > $o,X0: $i > $i > $o,X1: $i > $o] : ( mvalid @ ( mimpl @ ( mand @ ( mdia @ X0 @ ( mbox @ X0 @ X1 ) ) @ ( mbox @ X0 @ ( mdia @ X0 @ X2 ) ) ) @ ( mdia @ X0 @ ( mdia @ X0 @ ( mand @ X1 @ X2 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm) ).
thf(f17,negated_conjecture,
~ ! [X2: $i > $o,X0: $i > $i > $o,X1: $i > $o] : ( mvalid @ ( mimpl @ ( mand @ ( mdia @ X0 @ ( mbox @ X0 @ X1 ) ) @ ( mbox @ X0 @ ( mdia @ X0 @ X2 ) ) ) @ ( mdia @ X0 @ ( mdia @ X0 @ ( mand @ X1 @ X2 ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f16]) ).
thf(f24,plain,
( ( ^ [X0: $i > $o] :
! [X1: $i] : ( X0 @ X1 ) )
= mvalid ),
inference(rectify,[],[f12]) ).
thf(f25,plain,
( mvalid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f24]) ).
thf(f28,plain,
( ( ^ [X0: $i > $o,X1: $i] :
~ ( X0 @ X1 ) )
= mnot ),
inference(rectify,[],[f3]) ).
thf(f29,plain,
( mnot
= ( ^ [Y0: $i > $o,Y1: $i] :
~ ( Y0 @ Y1 ) ) ),
inference(fool_elimination,[],[f28]) ).
thf(f33,plain,
( mdia
= ( ^ [X0: $i > $i > $o,X1: $i > $o,X2: $i] :
? [X3: $i] :
( ( X0 @ X2 @ X3 )
& ( X1 @ X3 ) ) ) ),
inference(rectify,[],[f9]) ).
thf(f34,plain,
( mdia
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( ?? @ $i
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
& ( Y0 @ Y2 @ Y3 ) ) ) ) ),
inference(fool_elimination,[],[f33]) ).
thf(f35,plain,
( ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
( ( X1 @ X2 )
& ( X0 @ X2 ) ) )
= mand ),
inference(rectify,[],[f5]) ).
thf(f36,plain,
( mand
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y0 @ Y2 )
& ( Y1 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f35]) ).
thf(f38,plain,
~ ! [X0: $i > $o,X1: $i > $i > $o,X2: $i > $o] : ( mvalid @ ( mimpl @ ( mand @ ( mdia @ X1 @ ( mbox @ X1 @ X2 ) ) @ ( mbox @ X1 @ ( mdia @ X1 @ X0 ) ) ) @ ( mdia @ X1 @ ( mdia @ X1 @ ( mand @ X2 @ X0 ) ) ) ) ),
inference(rectify,[],[f17]) ).
thf(f39,plain,
~ ! [X2: $i > $o,X0: $i > $o,X1: $i > $i > $o] :
( ( mvalid @ ( mimpl @ ( mand @ ( mdia @ X1 @ ( mbox @ X1 @ X2 ) ) @ ( mbox @ X1 @ ( mdia @ X1 @ X0 ) ) ) @ ( mdia @ X1 @ ( mdia @ X1 @ ( mand @ X2 @ X0 ) ) ) ) )
= $true ),
inference(fool_elimination,[],[f38]) ).
thf(f40,plain,
( mimpl
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
inference(fool_elimination,[],[f6]) ).
thf(f41,plain,
( mbox
= ( ^ [X0: $i > $i > $o,X1: $i > $o,X2: $i] :
! [X3: $i] :
( ( X0 @ X2 @ X3 )
=> ( X1 @ X3 ) ) ) ),
inference(rectify,[],[f8]) ).
thf(f42,plain,
( mbox
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) ) ) ),
inference(fool_elimination,[],[f41]) ).
thf(f44,plain,
( mor
= ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
( ( X0 @ X2 )
| ( X1 @ X2 ) ) ) ),
inference(rectify,[],[f4]) ).
thf(f45,plain,
( mor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y1 @ Y2 )
| ( Y0 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f44]) ).
thf(f46,plain,
? [X2: $i > $o,X0: $i > $o,X1: $i > $i > $o] :
( ( mvalid @ ( mimpl @ ( mand @ ( mdia @ X1 @ ( mbox @ X1 @ X2 ) ) @ ( mbox @ X1 @ ( mdia @ X1 @ X0 ) ) ) @ ( mdia @ X1 @ ( mdia @ X1 @ ( mand @ X2 @ X0 ) ) ) ) )
!= $true ),
inference(ennf_transformation,[],[f39]) ).
thf(f47,plain,
? [X0: $i > $o,X1: $i > $o,X2: $i > $i > $o] :
( ( mvalid @ ( mimpl @ ( mand @ ( mdia @ X2 @ ( mbox @ X2 @ X0 ) ) @ ( mbox @ X2 @ ( mdia @ X2 @ X1 ) ) ) @ ( mdia @ X2 @ ( mdia @ X2 @ ( mand @ X0 @ X1 ) ) ) ) )
!= $true ),
inference(rectify,[],[f46]) ).
thf(f48,plain,
( ( mvalid @ ( mimpl @ ( mand @ ( mdia @ sK2 @ ( mbox @ sK2 @ sK0 ) ) @ ( mbox @ sK2 @ ( mdia @ sK2 @ sK1 ) ) ) @ ( mdia @ sK2 @ ( mdia @ sK2 @ ( mand @ sK0 @ sK1 ) ) ) ) )
!= $true ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f47]) ).
thf(f50,plain,
( mnot
= ( ^ [Y0: $i > $o,Y1: $i] :
~ ( Y0 @ Y1 ) ) ),
inference(cnf_transformation,[],[f29]) ).
thf(f51,plain,
( ( mvalid @ ( mimpl @ ( mand @ ( mdia @ sK2 @ ( mbox @ sK2 @ sK0 ) ) @ ( mbox @ sK2 @ ( mdia @ sK2 @ sK1 ) ) ) @ ( mdia @ sK2 @ ( mdia @ sK2 @ ( mand @ sK0 @ sK1 ) ) ) ) )
!= $true ),
inference(cnf_transformation,[],[f48]) ).
thf(f52,plain,
( mimpl
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
inference(cnf_transformation,[],[f40]) ).
thf(f55,plain,
( mbox
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) ) ) ),
inference(cnf_transformation,[],[f42]) ).
thf(f58,plain,
( mand
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y0 @ Y2 )
& ( Y1 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f36]) ).
thf(f59,plain,
( mor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y1 @ Y2 )
| ( Y0 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f45]) ).
thf(f61,plain,
( mvalid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f25]) ).
thf(f62,plain,
( mdia
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( ?? @ $i
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
& ( Y0 @ Y2 @ Y3 ) ) ) ) ),
inference(cnf_transformation,[],[f34]) ).
thf(f67,plain,
( mimpl
= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y3 @ Y4 )
| ( Y2 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ Y1 ) ) ),
inference(definition_unfolding,[],[f52,f59,f50]) ).
thf(f69,plain,
( $true
!= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y3 @ Y4 )
| ( Y2 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ Y1 )
@ ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y0 @ Y2 )
& ( Y1 @ Y2 ) )
@ ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( ?? @ $i
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
& ( Y0 @ Y2 @ Y3 ) ) )
@ sK2
@ ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
@ sK2
@ sK0 ) )
@ ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
@ sK2
@ ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( ?? @ $i
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
& ( Y0 @ Y2 @ Y3 ) ) )
@ sK2
@ sK1 ) ) )
@ ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( ?? @ $i
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
& ( Y0 @ Y2 @ Y3 ) ) )
@ sK2
@ ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( ?? @ $i
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
& ( Y0 @ Y2 @ Y3 ) ) )
@ sK2
@ ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y0 @ Y2 )
& ( Y1 @ Y2 ) )
@ sK0
@ sK1 ) ) ) ) ) ),
inference(definition_unfolding,[],[f51,f61,f67,f58,f62,f55,f55,f62,f62,f62,f58]) ).
thf(f70,definition,
( sF3
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y3 @ Y4 )
| ( Y2 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ Y1 )
@ ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y0 @ Y2 )
& ( Y1 @ Y2 ) )
@ ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( ?? @ $i
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
& ( Y0 @ Y2 @ Y3 ) ) )
@ sK2
@ ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
@ sK2
@ sK0 ) )
@ ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
@ sK2
@ ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( ?? @ $i
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
& ( Y0 @ Y2 @ Y3 ) ) )
@ sK2
@ sK1 ) ) )
@ ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( ?? @ $i
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
& ( Y0 @ Y2 @ Y3 ) ) )
@ sK2
@ ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( ?? @ $i
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
& ( Y0 @ Y2 @ Y3 ) ) )
@ sK2
@ ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y0 @ Y2 )
& ( Y1 @ Y2 ) )
@ sK0
@ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
thf(f71,plain,
$true != sF3,
inference(definition_folding,[],[f69,f70]) ).
thf(f72,plain,
( ( $false
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y3 @ Y4 )
| ( Y2 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ Y1 )
@ ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y0 @ Y2 )
& ( Y1 @ Y2 ) )
@ ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( ?? @ $i
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
& ( Y0 @ Y2 @ Y3 ) ) )
@ sK2
@ ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
@ sK2
@ sK0 ) )
@ ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
@ sK2
@ ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( ?? @ $i
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
& ( Y0 @ Y2 @ Y3 ) ) )
@ sK2
@ sK1 ) ) )
@ ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( ?? @ $i
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
& ( Y0 @ Y2 @ Y3 ) ) )
@ sK2
@ ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( ?? @ $i
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
& ( Y0 @ Y2 @ Y3 ) ) )
@ sK2
@ ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y0 @ Y2 )
& ( Y1 @ Y2 ) )
@ sK0
@ sK1 ) ) ) ) ) )
| ( $true = sF3 ) ),
inference(iff_proxy_clausification,[],[f70]) ).
thf(f130,plain,
( ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( sK0 @ Y2 )
& ( sK1 @ Y2 )
& ( sK2 @ Y1 @ Y2 ) ) )
& ( sK2 @ Y0 @ Y1 ) ) )
| ~ ( ( ?? @ $i
@ ^ [Y1: $i] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( sK2 @ Y1 @ Y2 )
=> ( sK0 @ Y2 ) ) )
& ( sK2 @ Y0 @ Y1 ) ) )
& ( !! @ $i
@ ^ [Y1: $i] :
( ( sK2 @ Y0 @ Y1 )
=> ( ?? @ $i
@ ^ [Y2: $i] :
( ( sK1 @ Y2 )
& ( sK2 @ Y1 @ Y2 ) ) ) ) ) ) ) ) )
| ( $true = sF3 ) ),
inference(beta-eta_normalization,[],[f72]) ).
thf(f131,plain,
( ( $true = sF3 )
| ( ( ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( sK0 @ Y2 )
& ( sK1 @ Y2 )
& ( sK2 @ Y1 @ Y2 ) ) )
& ( sK2 @ Y0 @ Y1 ) ) )
| ~ ( ( ?? @ $i
@ ^ [Y1: $i] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( sK2 @ Y1 @ Y2 )
=> ( sK0 @ Y2 ) ) )
& ( sK2 @ Y0 @ Y1 ) ) )
& ( !! @ $i
@ ^ [Y1: $i] :
( ( sK2 @ Y0 @ Y1 )
=> ( ?? @ $i
@ ^ [Y2: $i] :
( ( sK1 @ Y2 )
& ( sK2 @ Y1 @ Y2 ) ) ) ) ) ) )
@ sK11 )
= $false ) ),
inference(sigma_proxy_clausification,[],[f130]) ).
thf(f132,plain,
( ( $true = sF3 )
| ( $false
= ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( sK0 @ Y1 )
& ( sK1 @ Y1 )
& ( sK2 @ Y0 @ Y1 ) ) )
& ( sK2 @ sK11 @ Y0 ) ) )
| ~ ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( !! @ $i
@ ^ [Y1: $i] :
( ( sK2 @ Y0 @ Y1 )
=> ( sK0 @ Y1 ) ) )
& ( sK2 @ sK11 @ Y0 ) ) )
& ( !! @ $i
@ ^ [Y0: $i] :
( ( sK2 @ sK11 @ Y0 )
=> ( ?? @ $i
@ ^ [Y1: $i] :
( ( sK1 @ Y1 )
& ( sK2 @ Y0 @ Y1 ) ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f131]) ).
thf(f133,plain,
( ( $false
= ( ~ ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( !! @ $i
@ ^ [Y1: $i] :
( ( sK2 @ Y0 @ Y1 )
=> ( sK0 @ Y1 ) ) )
& ( sK2 @ sK11 @ Y0 ) ) )
& ( !! @ $i
@ ^ [Y0: $i] :
( ( sK2 @ sK11 @ Y0 )
=> ( ?? @ $i
@ ^ [Y1: $i] :
( ( sK1 @ Y1 )
& ( sK2 @ Y0 @ Y1 ) ) ) ) ) ) ) )
| ( $true = sF3 ) ),
inference(or_proxy_clausification,[],[f132]) ).
thf(f134,plain,
( ( $true = sF3 )
| ( $false
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( sK0 @ Y1 )
& ( sK1 @ Y1 )
& ( sK2 @ Y0 @ Y1 ) ) )
& ( sK2 @ sK11 @ Y0 ) ) ) ) ),
inference(or_proxy_clausification,[],[f132]) ).
thf(f135,plain,
! [X1: $i] :
( ( $true = sF3 )
| ( ( ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( sK0 @ Y1 )
& ( sK1 @ Y1 )
& ( sK2 @ Y0 @ Y1 ) ) )
& ( sK2 @ sK11 @ Y0 ) )
@ X1 )
= $false ) ),
inference(pi_proxy_clausification,[],[f134]) ).
thf(f136,plain,
! [X1: $i] :
( ( $true = sF3 )
| ( ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( sK0 @ Y0 )
& ( sK1 @ Y0 )
& ( sK2 @ X1 @ Y0 ) ) )
& ( sK2 @ sK11 @ X1 ) )
= $false ) ),
inference(beta-eta_normalization,[],[f135]) ).
thf(f137,plain,
! [X1: $i] :
( ( $true = sF3 )
| ( $false
= ( sK2 @ sK11 @ X1 ) )
| ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( sK0 @ Y0 )
& ( sK1 @ Y0 )
& ( sK2 @ X1 @ Y0 ) ) )
= $false ) ),
inference(and_proxy_clausification,[],[f136]) ).
thf(f138,plain,
! [X2: $i,X1: $i] :
( ( $true = sF3 )
| ( $false
= ( sK2 @ sK11 @ X1 ) )
| ( $false
= ( ^ [Y0: $i] :
( ( sK0 @ Y0 )
& ( sK1 @ Y0 )
& ( sK2 @ X1 @ Y0 ) )
@ X2 ) ) ),
inference(pi_proxy_clausification,[],[f137]) ).
thf(f139,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( sK2 @ sK11 @ X1 ) )
| ( $true = sF3 )
| ( ( ( sK0 @ X2 )
& ( sK1 @ X2 )
& ( sK2 @ X1 @ X2 ) )
= $false ) ),
inference(beta-eta_normalization,[],[f138]) ).
thf(f140,plain,
! [X2: $i,X1: $i] :
( ( $true = sF3 )
| ( ( sK2 @ X1 @ X2 )
= $false )
| ( ( ( sK0 @ X2 )
& ( sK1 @ X2 ) )
= $false )
| ( $false
= ( sK2 @ sK11 @ X1 ) ) ),
inference(and_proxy_clausification,[],[f139]) ).
thf(f141,plain,
! [X2: $i,X1: $i] :
( ( ( sK2 @ X1 @ X2 )
= $false )
| ( ( sK0 @ X2 )
= $false )
| ( $false
= ( sK2 @ sK11 @ X1 ) )
| ( $true = sF3 )
| ( $false
= ( sK1 @ X2 ) ) ),
inference(and_proxy_clausification,[],[f140]) ).
thf(f142,plain,
( ( $true = sF3 )
| ( ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( !! @ $i
@ ^ [Y1: $i] :
( ( sK2 @ Y0 @ Y1 )
=> ( sK0 @ Y1 ) ) )
& ( sK2 @ sK11 @ Y0 ) ) )
& ( !! @ $i
@ ^ [Y0: $i] :
( ( sK2 @ sK11 @ Y0 )
=> ( ?? @ $i
@ ^ [Y1: $i] :
( ( sK1 @ Y1 )
& ( sK2 @ Y0 @ Y1 ) ) ) ) ) )
= $true ) ),
inference(not_proxy_clausification,[],[f133]) ).
thf(f143,plain,
( ( $true = sF3 )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( sK2 @ sK11 @ Y0 )
=> ( ?? @ $i
@ ^ [Y1: $i] :
( ( sK1 @ Y1 )
& ( sK2 @ Y0 @ Y1 ) ) ) ) ) ) ),
inference(and_proxy_clausification,[],[f142]) ).
thf(f144,plain,
( ( $true
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( !! @ $i
@ ^ [Y1: $i] :
( ( sK2 @ Y0 @ Y1 )
=> ( sK0 @ Y1 ) ) )
& ( sK2 @ sK11 @ Y0 ) ) ) )
| ( $true = sF3 ) ),
inference(and_proxy_clausification,[],[f142]) ).
thf(f145,plain,
( ( $true = sF3 )
| ( ( ^ [Y0: $i] :
( ( !! @ $i
@ ^ [Y1: $i] :
( ( sK2 @ Y0 @ Y1 )
=> ( sK0 @ Y1 ) ) )
& ( sK2 @ sK11 @ Y0 ) )
@ sK12 )
= $true ) ),
inference(sigma_proxy_clausification,[],[f144]) ).
thf(f146,plain,
( ( $true = sF3 )
| ( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( sK2 @ sK12 @ Y0 )
=> ( sK0 @ Y0 ) ) )
& ( sK2 @ sK11 @ sK12 ) )
= $true ) ),
inference(beta-eta_normalization,[],[f145]) ).
thf(f147,plain,
( ( $true = sF3 )
| ( $true
= ( sK2 @ sK11 @ sK12 ) ) ),
inference(and_proxy_clausification,[],[f146]) ).
thf(f148,plain,
( ( $true = sF3 )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( sK2 @ sK12 @ Y0 )
=> ( sK0 @ Y0 ) ) )
= $true ) ),
inference(and_proxy_clausification,[],[f146]) ).
thf(f149,plain,
! [X1: $i] :
( ( ( ^ [Y0: $i] :
( ( sK2 @ sK12 @ Y0 )
=> ( sK0 @ Y0 ) )
@ X1 )
= $true )
| ( $true = sF3 ) ),
inference(pi_proxy_clausification,[],[f148]) ).
thf(f150,plain,
! [X1: $i] :
( ( $true = sF3 )
| ( ( ( sK2 @ sK12 @ X1 )
=> ( sK0 @ X1 ) )
= $true ) ),
inference(beta-eta_normalization,[],[f149]) ).
thf(f151,plain,
! [X1: $i] :
( ( $true = sF3 )
| ( $false
= ( sK2 @ sK12 @ X1 ) )
| ( $true
= ( sK0 @ X1 ) ) ),
inference(imp_proxy_clausification,[],[f150]) ).
thf(f152,plain,
! [X1: $i] :
( ( $true = sF3 )
| ( ( ^ [Y0: $i] :
( ( sK2 @ sK11 @ Y0 )
=> ( ?? @ $i
@ ^ [Y1: $i] :
( ( sK1 @ Y1 )
& ( sK2 @ Y0 @ Y1 ) ) ) )
@ X1 )
= $true ) ),
inference(pi_proxy_clausification,[],[f143]) ).
thf(f153,plain,
! [X1: $i] :
( ( $true
= ( ( sK2 @ sK11 @ X1 )
=> ( ?? @ $i
@ ^ [Y0: $i] :
( ( sK1 @ Y0 )
& ( sK2 @ X1 @ Y0 ) ) ) ) )
| ( $true = sF3 ) ),
inference(beta-eta_normalization,[],[f152]) ).
thf(f154,plain,
! [X1: $i] :
( ( $true = sF3 )
| ( $false
= ( sK2 @ sK11 @ X1 ) )
| ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( sK1 @ Y0 )
& ( sK2 @ X1 @ Y0 ) ) )
= $true ) ),
inference(imp_proxy_clausification,[],[f153]) ).
thf(f155,plain,
! [X1: $i] :
( ( ( ^ [Y0: $i] :
( ( sK1 @ Y0 )
& ( sK2 @ X1 @ Y0 ) )
@ ( sK13 @ X1 ) )
= $true )
| ( $false
= ( sK2 @ sK11 @ X1 ) )
| ( $true = sF3 ) ),
inference(sigma_proxy_clausification,[],[f154]) ).
thf(f156,plain,
! [X1: $i] :
( ( $false
= ( sK2 @ sK11 @ X1 ) )
| ( $true = sF3 )
| ( $true
= ( ( sK1 @ ( sK13 @ X1 ) )
& ( sK2 @ X1 @ ( sK13 @ X1 ) ) ) ) ),
inference(beta-eta_normalization,[],[f155]) ).
thf(f157,plain,
! [X1: $i] :
( ( $false
= ( sK2 @ sK11 @ X1 ) )
| ( $true = sF3 )
| ( $true
= ( sK2 @ X1 @ ( sK13 @ X1 ) ) ) ),
inference(and_proxy_clausification,[],[f156]) ).
thf(f158,plain,
! [X1: $i] :
( ( ( sK1 @ ( sK13 @ X1 ) )
= $true )
| ( $true = sF3 )
| ( $false
= ( sK2 @ sK11 @ X1 ) ) ),
inference(and_proxy_clausification,[],[f156]) ).
thf(f228,definition,
( spl14_18
<=> ! [X2: $i,X1: $i] :
( ( ( sK2 @ X1 @ X2 )
= $false )
| ( $false
= ( sK1 @ X2 ) )
| ( $false
= ( sK2 @ sK11 @ X1 ) )
| ( ( sK0 @ X2 )
= $false ) ) ),
introduced(definition,[new_symbols(definition,[spl14_18])],[avatar_definition]) ).
thf(f229,plain,
( ! [X2: $i,X1: $i] :
( ( $false
= ( sK2 @ sK11 @ X1 ) )
| ( $false
= ( sK1 @ X2 ) )
| ( ( sK0 @ X2 )
= $false )
| ( ( sK2 @ X1 @ X2 )
= $false ) )
| ~ spl14_18 ),
inference(avatar_component_clause,[],[f228]) ).
thf(f231,definition,
( spl14_19
<=> ( $true = sF3 ) ),
introduced(definition,[new_symbols(definition,[spl14_19])],[avatar_definition]) ).
thf(f234,plain,
( spl14_18
| spl14_19 ),
inference(avatar_split_clause,[],[f141,f231,f228]) ).
thf(f236,definition,
( spl14_20
<=> ! [X1: $i] :
( ( $false
= ( sK2 @ sK12 @ X1 ) )
| ( $true
= ( sK0 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl14_20])],[avatar_definition]) ).
thf(f237,plain,
( ! [X1: $i] :
( ( $false
= ( sK2 @ sK12 @ X1 ) )
| ( $true
= ( sK0 @ X1 ) ) )
| ~ spl14_20 ),
inference(avatar_component_clause,[],[f236]) ).
thf(f238,plain,
( spl14_20
| spl14_19 ),
inference(avatar_split_clause,[],[f151,f231,f236]) ).
thf(f240,definition,
( spl14_21
<=> ( $true
= ( sK2 @ sK11 @ sK12 ) ) ),
introduced(definition,[new_symbols(definition,[spl14_21])],[avatar_definition]) ).
thf(f242,plain,
( ( $true
= ( sK2 @ sK11 @ sK12 ) )
| ~ spl14_21 ),
inference(avatar_component_clause,[],[f240]) ).
thf(f243,plain,
( spl14_19
| spl14_21 ),
inference(avatar_split_clause,[],[f147,f240,f231]) ).
thf(f245,definition,
( spl14_22
<=> ! [X1: $i] :
( ( ( sK1 @ ( sK13 @ X1 ) )
= $true )
| ( $false
= ( sK2 @ sK11 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl14_22])],[avatar_definition]) ).
thf(f246,plain,
( ! [X1: $i] :
( ( $false
= ( sK2 @ sK11 @ X1 ) )
| ( ( sK1 @ ( sK13 @ X1 ) )
= $true ) )
| ~ spl14_22 ),
inference(avatar_component_clause,[],[f245]) ).
thf(f247,plain,
( spl14_22
| spl14_19 ),
inference(avatar_split_clause,[],[f158,f231,f245]) ).
thf(f249,definition,
( spl14_23
<=> ! [X1: $i] :
( ( $false
= ( sK2 @ sK11 @ X1 ) )
| ( $true
= ( sK2 @ X1 @ ( sK13 @ X1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl14_23])],[avatar_definition]) ).
thf(f250,plain,
( ! [X1: $i] :
( ( $true
= ( sK2 @ X1 @ ( sK13 @ X1 ) ) )
| ( $false
= ( sK2 @ sK11 @ X1 ) ) )
| ~ spl14_23 ),
inference(avatar_component_clause,[],[f249]) ).
thf(f251,plain,
( spl14_23
| spl14_19 ),
inference(avatar_split_clause,[],[f157,f231,f249]) ).
thf(f252,plain,
~ spl14_19,
inference(avatar_split_clause,[],[f71,f231]) ).
thf(f270,plain,
( ( $true
= ( sK1 @ ( sK13 @ sK12 ) ) )
| ( $false = $true )
| ~ spl14_21
| ~ spl14_22 ),
inference(constrained_superposition,[],[f242,f246]) ).
thf(f271,plain,
( ( $true
= ( sK1 @ ( sK13 @ sK12 ) ) )
| ~ spl14_21
| ~ spl14_22 ),
inference(trivial_inequality_removal,[],[f270]) ).
thf(f277,plain,
( ( $false
= ( sK2 @ sK11 @ sK12 ) )
| ( $false = $true )
| ( ( sK0 @ ( sK13 @ sK12 ) )
= $true )
| ~ spl14_20
| ~ spl14_23 ),
inference(constrained_superposition,[],[f237,f250]) ).
thf(f278,plain,
( ( ( sK0 @ ( sK13 @ sK12 ) )
= $true )
| ( $false
= ( sK2 @ sK11 @ sK12 ) )
| ~ spl14_20
| ~ spl14_23 ),
inference(trivial_inequality_removal,[],[f277]) ).
thf(f282,plain,
( ( ( sK0 @ ( sK13 @ sK12 ) )
= $true )
| ( $false = $true )
| ~ spl14_20
| ~ spl14_21
| ~ spl14_23 ),
inference(forward_demodulation,[],[f278,f242]) ).
thf(f283,plain,
( ( ( sK0 @ ( sK13 @ sK12 ) )
= $true )
| ~ spl14_20
| ~ spl14_21
| ~ spl14_23 ),
inference(trivial_inequality_removal,[],[f282]) ).
thf(f299,plain,
( ! [X0: $i] :
( ( ( sK2 @ sK12 @ X0 )
= $false )
| ( $false
= ( sK1 @ X0 ) )
| ( ( sK0 @ X0 )
= $false )
| ( $false = $true ) )
| ~ spl14_18
| ~ spl14_21 ),
inference(constrained_superposition,[],[f242,f229]) ).
thf(f304,plain,
( ! [X0: $i] :
( ( ( sK2 @ sK12 @ X0 )
= $false )
| ( ( sK0 @ X0 )
= $false )
| ( $false
= ( sK1 @ X0 ) ) )
| ~ spl14_18
| ~ spl14_21 ),
inference(trivial_inequality_removal,[],[f299]) ).
thf(f326,plain,
( ( $false
= ( sK2 @ sK11 @ sK12 ) )
| ( $false
= ( sK1 @ ( sK13 @ sK12 ) ) )
| ( ( sK0 @ ( sK13 @ sK12 ) )
= $false )
| ( $false = $true )
| ~ spl14_18
| ~ spl14_21
| ~ spl14_23 ),
inference(constrained_superposition,[],[f250,f304]) ).
thf(f329,plain,
( ( $false
= ( sK1 @ ( sK13 @ sK12 ) ) )
| ( ( sK0 @ ( sK13 @ sK12 ) )
= $false )
| ( $false
= ( sK2 @ sK11 @ sK12 ) )
| ~ spl14_18
| ~ spl14_21
| ~ spl14_23 ),
inference(trivial_inequality_removal,[],[f326]) ).
thf(f332,plain,
( ( ( sK0 @ ( sK13 @ sK12 ) )
= $false )
| ( $false
= ( sK2 @ sK11 @ sK12 ) )
| ( $false = $true )
| ~ spl14_18
| ~ spl14_21
| ~ spl14_22
| ~ spl14_23 ),
inference(forward_demodulation,[],[f329,f271]) ).
thf(f333,plain,
( ( $false
= ( sK2 @ sK11 @ sK12 ) )
| ( ( sK0 @ ( sK13 @ sK12 ) )
= $false )
| ~ spl14_18
| ~ spl14_21
| ~ spl14_22
| ~ spl14_23 ),
inference(trivial_inequality_removal,[],[f332]) ).
thf(f336,plain,
( ( $false = $true )
| ( ( sK0 @ ( sK13 @ sK12 ) )
= $false )
| ~ spl14_18
| ~ spl14_21
| ~ spl14_22
| ~ spl14_23 ),
inference(forward_demodulation,[],[f333,f242]) ).
thf(f337,plain,
( ( ( sK0 @ ( sK13 @ sK12 ) )
= $false )
| ~ spl14_18
| ~ spl14_21
| ~ spl14_22
| ~ spl14_23 ),
inference(trivial_inequality_removal,[],[f336]) ).
thf(f341,plain,
( ( $false = $true )
| ~ spl14_18
| ~ spl14_20
| ~ spl14_21
| ~ spl14_22
| ~ spl14_23 ),
inference(forward_demodulation,[],[f337,f283]) ).
thf(f342,plain,
( $false
| ~ spl14_18
| ~ spl14_20
| ~ spl14_21
| ~ spl14_22
| ~ spl14_23 ),
inference(trivial_inequality_removal,[],[f341]) ).
thf(f343,plain,
( ~ spl14_18
| ~ spl14_20
| ~ spl14_21
| ~ spl14_22
| ~ spl14_23 ),
inference(avatar_contradiction_clause,[],[f342]) ).
cnf(s17,plain,
( spl14_18
| spl14_19 ),
inference(sat_conversion,[],[f234]) ).
cnf(s18,plain,
( spl14_19
| spl14_20 ),
inference(sat_conversion,[],[f238]) ).
cnf(s19,plain,
( spl14_19
| spl14_21 ),
inference(sat_conversion,[],[f243]) ).
cnf(s20,plain,
( spl14_19
| spl14_22 ),
inference(sat_conversion,[],[f247]) ).
cnf(s21,plain,
( spl14_19
| spl14_23 ),
inference(sat_conversion,[],[f251]) ).
cnf(s22,plain,
~ spl14_19,
inference(sat_conversion,[],[f252]) ).
cnf(s30,plain,
( ~ spl14_18
| ~ spl14_20
| ~ spl14_21
| ~ spl14_22
| ~ spl14_23 ),
inference(sat_conversion,[],[f343]) ).
cnf(s32,plain,
spl14_23,
inference(rat,[],[s21,s22]) ).
cnf(s33,plain,
spl14_22,
inference(rat,[],[s20,s22]) ).
cnf(s34,plain,
spl14_21,
inference(rat,[],[s19,s22]) ).
cnf(s35,plain,
spl14_20,
inference(rat,[],[s18,s22]) ).
cnf(s36,plain,
~ spl14_18,
inference(rat,[],[s30,s32,s33,s34,s35]) ).
cnf(s37,plain,
$false,
inference(rat,[],[s17,s22,s36]) ).
thf(f344,plain,
$false,
inference(avatar_sat_refutation,[],[s37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LCL624^1 : TPTP v9.3.1. Released v3.6.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.25 % Computer : n018.cluster.edu
% 0.12/0.25 % Model : x86_64 x86_64
% 0.12/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.25 % Memory : 8046.5625MB
% 0.12/0.25 % OS : Linux 6.8.0-71-generic
% 0.12/0.25 % CPULimit : 300
% 0.12/0.25 % WCLimit : 300
% 0.12/0.25 % DateTime : Tue Sep 29 09:31:11 UTC 2026
% 0.12/0.25 % CPUTime :
% 0.12/0.25 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.25/0.31 Running higher-order theorem proving
% 0.25/0.32 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.50/0.38 % (4045837)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.50/0.38 % (4045848)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.50/0.38 % (4045848)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.50/0.38 % (4045848)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=1833519333:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.50/0.38 % (4045842)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3311674943:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.50/0.38 % (4045846)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2401154766:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.50/0.38 % (4045844)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3143538882:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.50/0.38 % (4045845)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=1834778692:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.50/0.38 % (4045843)lrs+10_16_si=on:nwc=1.5:random_seed=1487877281:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.50/0.38 % (4045847)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=519744330:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.50/0.38 % (4045844)Instruction limit reached!
% 0.50/0.38 % (4045844)------------------------------
% 0.50/0.38 % (4045844)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.50/0.38 % (4045844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.50/0.38 % (4045844)CaDiCaL version: 2.1.3
% 0.50/0.38 % (4045844)Termination reason: Instruction limit
% 0.50/0.38 % (4045844)Termination phase: Saturation
% 0.50/0.38 % (4045844)Time elapsed: 0.003 s
% 0.50/0.38 % (4045844)Peak memory usage: 11 MB
% 0.50/0.38 % (4045844)Instructions burned: 3 (million)
% 0.50/0.38 % (4045848) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4045837-4045848"...
% 0.50/0.38 % (4045842) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4045837-4045842"...
% 0.50/0.38 % (4045848)...printing done.
% 0.50/0.38 % (4045843) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4045837-4045843"...
% 0.50/0.38 % (4045848)Refutation found. Thanks to Tanya!
% 0.50/0.38 % SZS status Theorem for theBenchmark
% 0.50/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.50/0.38 % (4045848)------------------------------
% 0.50/0.38 % (4045848)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.50/0.38 % (4045848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.50/0.38 % (4045848)CaDiCaL version: 2.1.3
% 0.50/0.38 % (4045848)Termination reason: Refutation
% 0.50/0.38 % (4045848)Time elapsed: 0.012 s
% 0.50/0.38 % (4045848)Peak memory usage: 13 MB
% 0.50/0.38 % (4045848)Instructions burned: 21 (million)
% 0.50/0.38 % (4045837)Success in time 0.047 s
% 0.50/0.38 % Vampire exiting
%------------------------------------------------------------------------------